Find the LCM of 421, 949, 743, 447, 416 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 421, 949, 743, 447, 416. So, keep reading to learn more.
Given numbers are 421,949,743,447,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,949,743,447,416 is 4246143072288.
Find LCM of 421,949,743,447,416 with Prime Factorization
13 | 421, 949, 743, 447, 416 |
421, 73, 743, 447, 32 |
Multiply the prime numbers at the bottom and the left side.
13 x 421 x 73 x 743 x 447 x 32 = 4246143072288
Therefore, the lowest common multiple of 421,949,743,447,416 is 4246143072288.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
421 x 949 x 743 x 447 x 416 = 55199859939744
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
421 : 1, 421
949 : 1, 13, 73, 949
743 : 1, 743
447 : 1, 3, 149, 447
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,949,743,447,416, is 1.
Now, the common factors can be found like this.
421:421
949:13x 73
743:743
447:3x 149
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 55199859939744/(1x13)
LCM = 55199859939744/13
LCM = 4246143072288
Thus, we can understand that the LCM of 421,949,743,447,416 is 4246143072288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 949, 743, 447, 416?
Answer: LCM of 421, 949, 743, 447, 416 is 4246143072288.
2. How to calculate the LCM of 421, 949, 743, 447, 416?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 421, 949, 743, 447, 416.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.